{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Spectral Clustering\n",
    "*Complete and hand in this completed worksheet (including its outputs and any supporting code outside of the worksheet) with your assignment submission. Please check the pdf file for more details.*\n",
    "\n",
    "In this exercise you will:\n",
    "    \n",
    "- implement the **KNN graph** and other necessary algorithms for **spectral clustering**\n",
    "- play with the **threshold** of spectral clustering\n",
    "- apply spectral clustering on toy data and **real world data**, and compare it with k-means\n",
    "\n",
    "Please note that **YOU CANNOT USE ANY MACHINE LEARNING PACKAGE SUCH AS SKLEARN** for any homework, unless you are asked to."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# some basic imports\n",
    "import scipy.io as sio\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "from cluster_plot import cluster_plot\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experiment Spectral Clustering on synthesis data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster_data = sio.loadmat('cluster_data.mat')\n",
    "X = cluster_data['X']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Uncomment following two line and choose proper parameters\n",
    "k_in_knn_graph = 200\n",
    "threshold = 0.3\n",
    "# implement knn_graph in knn_graph.py\n",
    "from knn_graph import knn_graph\n",
    "\n",
    "W = knn_graph(X, k_in_knn_graph, threshold)\n",
    "# implement spectral in spectral\n",
    "from spectral import spectral\n",
    "\n",
    "idx = spectral(W, 2)\n",
    "cluster_plot(X, idx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kmeans import kmeans\n",
    "\n",
    "idx = kmeans(X, 2)\n",
    "cluster_plot(X, idx)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's try Spectral Clustering on real-world data!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "TDT2_data = sio.loadmat('TDT2_data.mat')\n",
    "fea = TDT2_data['fea']\n",
    "gnd = TDT2_data['gnd'].reshape(-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "spectral_accuracy = 0.6670204700530705, spectral_nor_mutua_info = 0.7689502671663344\n",
      "kmeans_accuracy = 0.4944655041698256, kmeans_nor_mutua_info = 0.5787809963937364\n"
     ]
    }
   ],
   "source": [
    "from constructW import constructW\n",
    "from bestMap import bestMap\n",
    "from MutualInfo import MutualInfo\n",
    "# YOUR CODE HERE\n",
    "# begin answer\n",
    "W = constructW(fea, k=50)\n",
    "\n",
    "spectral_accuracy = 0\n",
    "kmeans_accuracy = 0\n",
    "spectral_nor_mutua_info = 0\n",
    "kmeans_nor_mutua_info = 0\n",
    "\n",
    "N_loop = 5\n",
    "N = len(gnd)\n",
    "cluster_num = len(np.unique(gnd))\n",
    "\n",
    "for i in range(N_loop):\n",
    "    label = bestMap(gnd, spectral(W, cluster_num))\n",
    "    spectral_accuracy = spectral_accuracy + np.sum(gnd == label)\n",
    "    spectral_nor_mutua_info = spectral_nor_mutua_info + MutualInfo(gnd, label)\n",
    "    \n",
    "    label = bestMap(gnd, kmeans(fea.toarray(), cluster_num))\n",
    "    kmeans_accuracy = kmeans_accuracy + np.sum(gnd == label)\n",
    "    kmeans_nor_mutua_info = kmeans_nor_mutua_info + MutualInfo(gnd, label)\n",
    "\n",
    "print(\"spectral_accuracy = {}, spectral_nor_mutua_info = {}\".format(spectral_accuracy / (N * N_loop), spectral_nor_mutua_info / N_loop))\n",
    "print(\"kmeans_accuracy = {}, kmeans_nor_mutua_info = {}\".format(kmeans_accuracy / (N * N_loop), kmeans_nor_mutua_info / N_loop))\n",
    "# end answer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
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